Over the vehement objection of its three female justices, the court blocked the administration from forcing an evangelical college in Illinois to sanction insurance coverage for emergency birth control, even though it would not have had to offer the coverage itself.

In doing so, the court made clear that it's not done with the religious liberty issue following Monday's ruling that closely-held, for-profit corporations with objections to certain contraception methods do not have to offer this type of coverage to their employees.

Noting that appeals courts across the country are divided on how religious nonprofits such as charities, hospitals and colleges should be handled under the regulation, the court said "such division is a traditional ground for certiorari" - a decision by the justices to resolve the issue.

In the meantime, the court said women employees of Wheaton College should be able to get emergency contraception services from private insurers - without requiring the college to sign a form it claims would make it complicit in the transaction.

Ironically, it was that arrangement - in which objecting religious nonprofits would sign over their responsibility to offer contraception coverage to insurers or third-party administrators - that the court cited Monday as a potential solution for profit-making companies such as the craft store chain Hobby Lobby.

Justice Sonia Sotomayor, joined by Justices Ruth Bader Ginsburg and Elena Kagan, dissented from Thursday's order. She said the accommodation already granted to nonprofits "is the least restrictive means of furthering the government's compelling interests in public health and women's well-being."

"Those who are bound by our decisions usually believe they can take us at our word. Not so to­day," Sotomayor said. Declaring insufficient the very accommodation it held out Monday as a possible solution for Hobby Lobby "evinces disregard for even the newest of this court's precedents and undermines confidence in this institution," she said.

Under the Affordable Care Act, also known as Obamacare, the Health and Human Services Department issued a regulation requiring employers to offer women's preventive health insurance coverage, including 20 forms of contraception.

The administration exempted churches and other religious institutions from the requirement. After religious nonprofits objected, it devised its accommodation: They could fill out a form registering their objections, which would trigger provision of the coverage by insurers.

Two types of lawsuits grew out of the contraception mandate. Dozens of nonprofits challenged that arrangement, and dozens of for-profit corporations - mostly closely-held, family-owned companies - sought exemptions as well.

Following Monday's 5-4 ruling, those for-profit companies can expect favorable treatment in the lower courts, a process the Supreme Court began Tuesday by denying some government petitions and directing courts to reconsider private challenges.

Thursday's order points toward similarly favorable treatment for other nonprofits whose status is the same as Wheaton's. Beyond denying contraceptive coverage without co-payments to hundreds of the college's employees and students, Sotomayor said, the order "will presumably entitle hundreds or thousands of other objectors to the same remedy."